
If those branches were coming from the top part of the rose tree, that is one happy grafted rose! If the branches are coming from anyplace below the rose graft with the trunk, they need to be removed ASAP! The bottom part of the tree has decided to grow on its own and will sap nutrients and strength from the top desired part of the creation. Soon leading to the death of the top rose part. The lower branches will likely try to grow back, just keep pruning them back as far as you can. If it is the upper ones, I just prune them back to maintain a nice shape.